Time bar (total: 6.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 74.9% | 0.1% | 6 |
| 25% | 68.6% | 6.4% | 7 |
| 31.2% | 62.4% | 6.4% | 8 |
| 36.7% | 54.6% | 8.7% | 9 |
| 38.2% | 48.4% | 13.4% | 10 |
| 42.7% | 42.3% | 15% | 11 |
| 47.8% | 34.1% | 18.1% | 12 |
| 49.1% | 30.3% | 20.5% | 13 |
| 51.9% | 25.8% | 22.3% | 14 |
Compiled 21 to 15 computations (28.6% saved)
| 1× | intervals |
| 13.0ms | 171× | body | 128 | valid |
| 12.0ms | 41× | body | 2048 | valid |
| 5.0ms | 21× | body | 1024 | valid |
| 3.0ms | 9× | body | 4096 | valid |
| 2.0ms | 8× | body | 512 | valid |
| 1.0ms | 17× | body | 128 | nan |
| 1.0ms | 6× | body | 256 | valid |
| 1.0ms | 12× | body | 128 | invalid |
Compiled 44 to 32 computations (27.3% saved)
| 1× | egg-herbie |
| 1968× | fma-neg_binary64 |
| 1363× | fma-def_binary64 |
| 898× | div-sub_binary64 |
| 743× | associate-/l*_binary64 |
| 567× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 26 |
| 1 | 30 | 22 |
| 2 | 64 | 22 |
| 3 | 135 | 22 |
| 4 | 201 | 22 |
| 5 | 335 | 22 |
| 6 | 554 | 22 |
| 7 | 929 | 22 |
| 8 | 1477 | 22 |
| 9 | 2115 | 22 |
| 10 | 2599 | 22 |
| 11 | 2554 | 22 |
| 12 | 2602 | 22 |
| 13 | 2671 | 22 |
| 14 | 3117 | 22 |
| 15 | 2327 | 22 |
| 16 | 2375 | 22 |
| 17 | 2383 | 22 |
| 18 | 2389 | 22 |
| 19 | 2395 | 22 |
| 20 | 2397 | 22 |
| 21 | 2397 | 22 |
| 22 | 2585 | 22 |
| 23 | 2685 | 22 |
| 24 | 2619 | 22 |
| 25 | 2631 | 22 |
| 26 | 2661 | 22 |
| 27 | 2677 | 22 |
| 28 | 2707 | 22 |
| 29 | 2707 | 22 |
| 30 | 2751 | 22 |
| 31 | 2851 | 22 |
| 32 | 2827 | 22 |
| 33 | 2827 | 22 |
| 34 | 2638 | 22 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| ▶ | 33.7b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 33.8b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a)) |
Compiled 111 to 74 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| ✓ | 1.0b | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) |
| ✓ | 1.3b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) |
| ✓ | 24.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
4 calls:
| 85.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 52.0ms | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) |
| 40.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
| 11.0ms | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) |
| 1× | rewrite-expression-head |
| 22× | *-un-lft-identity_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | fma-def_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 10× | add-log-exp_binary64 |
4 calls:
| 10.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 9.0ms | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) |
| 4.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
| 3.0ms | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) |
| 1× | egg-herbie |
| 683× | fma-neg_binary64 |
| 340× | cancel-sign-sub-inv_binary64 |
| 242× | distribute-rgt-neg-in_binary64 |
| 156× | associate-*r*_binary64 |
| 151× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 4286 |
| 1 | 716 | 3943 |
| 2 | 2528 | 3797 |
| 3 | 4700 | 3771 |
| 4 | 5026 | 3771 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 196 | 11 | 207 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 197 | 12 | 209 |
| Status | Error | Program |
| ▶ | 33.7b | (/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) 3) a) |
| 56.7b | (/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a)) | |
| 39.9b | (/.f64 (/.f64 (*.f64 3 (*.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b))) (*.f64 3 a)) | |
| 34.0b | (/.f64 (*.f64 (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a)) | |
| 50.8b | (exp.f64 (log.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)))) | |
| 43.7b | (/.f64 (*.f64 -2 b) (*.f64 3 a)) | |
| 43.7b | (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) | |
| 34.2b | (/.f64 1 (/.f64 3 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) b) a))) | |
| 54.9b | (/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) | |
| 40.5b | (*.f64 -1/2 (/.f64 c b)) | |
| ✓ | 33.7b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 33.7b | (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (/.f64 1 (*.f64 3 a))) |
Compiled 5785 to 3420 computations (40.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 3 a) c) |
| 1.0b | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) | |
| 1.3b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) | |
| 24.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
1 calls:
| 6.0ms | (*.f64 (*.f64 3 a) c) |
| 1× | rewrite-expression-head |
| 6× | add-cbrt-cube_binary64 |
| 6× | add-exp-log_binary64 |
| 6× | pow1_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | cbrt-unprod_binary64 |
1 calls:
| 4.0ms | (*.f64 (*.f64 3 a) c) |
| 1× | egg-herbie |
| 578× | associate-*l*_binary64 |
| 477× | unswap-sqr_binary64 |
| 383× | associate-*r*_binary64 |
| 351× | *-commutative_binary64 |
| 334× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 380 |
| 1 | 99 | 344 |
| 2 | 366 | 344 |
| 3 | 1031 | 344 |
| 4 | 1241 | 344 |
| 5 | 1501 | 344 |
| 6 | 1934 | 344 |
| 7 | 4036 | 344 |
| 8 | 4924 | 344 |
| 9 | 5048 | 344 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 2 | 168 |
| Fresh | 1 | 9 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 168 | 12 | 180 |
| Status | Error | Program |
| ▶ | 33.7b | (/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) 3) a) |
| ✓ | 33.7b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 56.7b | (/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a)) | |
| 39.9b | (/.f64 (/.f64 (*.f64 3 (*.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b))) (*.f64 3 a)) | |
| 50.8b | (exp.f64 (log.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)))) | |
| 43.7b | (/.f64 (*.f64 -2 b) (*.f64 3 a)) | |
| 43.7b | (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) | |
| 34.2b | (/.f64 1 (/.f64 3 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) b) a))) | |
| 54.9b | (/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) | |
| 43.7b | (/.f64 (/.f64 (*.f64 b -2) 3) a) | |
| 40.5b | (*.f64 -1/2 (/.f64 c b)) | |
| 33.7b | (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (/.f64 1 (*.f64 3 a))) |
Compiled 4522 to 2650 computations (41.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) 3) |
| ✓ | 1.1b | (fma.f64 (*.f64 c a) -3 (*.f64 b b)) |
| ✓ | 1.3b | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) |
| ✓ | 24.3b | (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b))) |
4 calls:
| 67.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) 3) |
| 52.0ms | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) |
| 41.0ms | (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b))) |
| 12.0ms | (fma.f64 (*.f64 c a) -3 (*.f64 b b)) |
| 1× | rewrite-expression-head |
| 38× | *-un-lft-identity_binary64 |
| 19× | add-sqr-sqrt_binary64 |
| 18× | add-cube-cbrt_binary64 |
| 15× | times-frac_binary64 |
| 10× | distribute-lft-out_binary64 |
4 calls:
| 10.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) 3) |
| 5.0ms | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) |
| 1.0ms | (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b))) |
| 0.0ms | (fma.f64 (*.f64 c a) -3 (*.f64 b b)) |
| 1× | egg-herbie |
| 601× | fma-def_binary64 |
| 471× | fma-neg_binary64 |
| 468× | associate-/l*_binary64 |
| 221× | cancel-sign-sub-inv_binary64 |
| 185× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4456 |
| 1 | 592 | 4112 |
| 2 | 1743 | 3981 |
| 3 | 4781 | 3981 |
| 4 | 4977 | 3981 |
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 0 | 208 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 208 | 12 | 220 |
| Status | Error | Program |
| ✓ | 33.7b | (/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) 3) a) |
| ✓ | 33.7b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 56.7b | (/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a)) | |
| 39.9b | (/.f64 (/.f64 (*.f64 3 (*.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b))) (*.f64 3 a)) | |
| 50.8b | (exp.f64 (log.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)))) | |
| 43.7b | (/.f64 (*.f64 -2 b) (*.f64 3 a)) | |
| 43.7b | (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) | |
| 34.2b | (/.f64 1 (/.f64 3 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) b) a))) | |
| 54.9b | (/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) | |
| 43.7b | (/.f64 (/.f64 (*.f64 b -2) 3) a) | |
| 40.5b | (*.f64 -1/2 (/.f64 c b)) | |
| ▶ | 33.7b | (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (/.f64 1 (*.f64 3 a))) |
Compiled 5635 to 3251 computations (42.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 1 (*.f64 3 a)) |
| 1.0b | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) | |
| 1.3b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) | |
| 24.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
1 calls:
| 2.0ms | (/.f64 1 (*.f64 3 a)) |
| 1× | rewrite-expression-head |
| 12× | add-exp-log_binary64 |
| 6× | add-cbrt-cube_binary64 |
| 4× | div-exp_binary64 |
| 4× | pow1_binary64 |
| 3× | associate-/l*_binary64 |
1 calls:
| 3.0ms | (/.f64 1 (*.f64 3 a)) |
| 1× | egg-herbie |
| 847× | fma-def_binary64 |
| 542× | fma-neg_binary64 |
| 519× | fabs-mul_binary64 |
| 423× | sqr-pow_binary64 |
| 412× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 231 |
| 1 | 87 | 204 |
| 2 | 206 | 204 |
| 3 | 455 | 204 |
| 4 | 592 | 204 |
| 5 | 854 | 204 |
| 6 | 1622 | 204 |
| 7 | 2005 | 204 |
| 8 | 2446 | 204 |
| 9 | 2753 | 204 |
| 10 | 3111 | 204 |
| 11 | 3895 | 204 |
| 12 | 4649 | 204 |
| 13 | 4837 | 204 |
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 180 | 1 | 181 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 180 | 13 | 193 |
| Status | Error | Program |
| 43.7b | (/.f64 (/.f64 (*.f64 b -2) 3) a) | |
| 43.7b | (*.f64 (*.f64 b -2) (/.f64 1 (*.f64 3 a))) | |
| ✓ | 33.7b | (/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)))) 3) a) |
| ✓ | 33.7b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 56.7b | (/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a)) | |
| 39.9b | (/.f64 (/.f64 (*.f64 3 (*.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b))) (*.f64 3 a)) | |
| 50.8b | (exp.f64 (log.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)))) | |
| 43.7b | (/.f64 (*.f64 -2 b) (*.f64 3 a)) | |
| 43.7b | (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) | |
| 34.2b | (/.f64 1 (/.f64 3 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) b) a))) | |
| 54.9b | (/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) | |
| 40.5b | (*.f64 -1/2 (/.f64 c b)) | |
| ✓ | 33.7b | (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (/.f64 1 (*.f64 3 a))) |
Compiled 4941 to 3045 computations (38.4% saved)
Total 4.7b remaining (44.4%)
Threshold costs 0b (0%)
Compiled 13901 to 9875 computations (29% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 4.204450292624477e-25 | 8.095484290796064e-20 | 4.275038443143993e-25 |
| 7 | -1.0858485722375315e+114 | -6.622358748709569e+112 | -9.594592938143188e+113 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 9× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 57 |
| 1 | 42 | 55 |
| 2 | 64 | 55 |
| 3 | 77 | 55 |
| 4 | 86 | 55 |
| 5 | 89 | 55 |
| 6 | 88 | 55 |
Compiled 40 to 27 computations (32.5% saved)
| 1× | intervals |
| 376.0ms | 1177× | body | 2048 | valid |
| 364.0ms | 5210× | body | 128 | valid |
| 188.0ms | 742× | body | 1024 | valid |
| 152.0ms | 396× | body | 4096 | valid |
| 65.0ms | 323× | body | 512 | valid |
| 37.0ms | 606× | body | 128 | nan |
| 26.0ms | 362× | body | 128 | invalid |
| 20.0ms | 152× | body | 256 | valid |
Compiled 277 to 199 computations (28.2% saved)
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